1. Restricted circular problem
This section presents the modeling of the restricted circular three-body problem, with the equations of motion in a rotating frame of reference, the accessible regions as a function of initial conditions, and the location of equilibrium points.
1.1 Equations of motion
The three-body problem considers three material points C1, C2 and M of masses m1, m2 and m respectively in gravitational interaction. When C1 and C2 are stars and M a spacecraft, the mass of M is negligible (restricted problem) and does not influence the motion of C1 and C2. The two stars called primary bodies then follow a Keplerian motion (two-body problem). The Circular Restricted Three-Body Problem (CR3BP) further assumes that this...
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Restricted circular problem
Periodic orbits
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